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Finding the Fourth Proportional to 297,204.02, 410,141.69 and 161,237.93

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Solution

The fourth proportional to 297,204.02, 410,141.69 and 161,237.93 is: 222,508.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,204.02 : 410,141.69 = 161,237.93 : x
  2. Step 2: Convert to fraction form
    297,204.02/410,141.69 = 161,237.93/x
  3. Step 3: Cross multiply
    297,204.02x = 410,141.69 × 161,237.93
  4. Step 4: Simplify right side
    297,204.02x = 66,130,397,102.30
  5. Step 5: Solve for x
    x = 66,130,397,102.30/297,204.02
  6. Step 6: Final answer
    x = 222,508.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.